Let S be the set of points, whose abscissae and ordinates are natural numbers. Let p e S, such that the sum of the distance of P from (8, 0) and (0, 12) is minimum among all elemants in S. Then, the number of such points P in S is
1
3
5
11
B.
3
Sum of distances of point Pfrom point (8, 0) and (0, 12) will be minimum, if points are collinear.
Equation of line at point (8, 0) and (0, 12),
Points (x, y) = (2., 9), ( 4, 6) and (6, 3).
Hence, the number of such points P in S is 3
If p.q are the · roots of the equation x2 + px + q =0, then
p = 1, q = - 2
p = 0, q = 1
p = - 2, q = 0
p = - 2, q = 1
The number of ways in which the letters of the word ARRANGE can be permuted such that the R's occur together, is